Symmetry of second derivatives

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Related lectures (30)

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Partial Derivatives and Functions

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Derivatives and Tangent Planes

Covers derivatives, differentiability, and tangent planes for functions of one and two variables.

Partial Derivatives: Gradient and Theorem of Mean Value

Introduces the gradient concept and the Theorem of Mean Value for functions in several variables.

Mathematical Complements: df or δf

Explores mathematical tools for differentials of functions of multiple variables and integrals, including conservative quantities and exact total differentials.

Differentiability and Partial Derivatives

Explores differentiability in two variables and the chain rule for compositions.

Functions of Class C^p

Explores functions of class C^p, emphasizing continuity and differentiability properties.

Derivable Functions: Partial Derivatives and Jacobian Matrix

Covers derivable functions, partial derivatives, Jacobian matrix, and rule of composition.

Partial Derivatives: Functions and Definitions

Explores partial derivatives of functions with multiple variables, emphasizing their definitions and properties.

Maxwell Relations: Schwarz Theorem

Explores the application of Schwarz theorem to derive Maxwell relations.

Differentiability Theorems

Explores differentiability theorems, including partial derivatives, existence of derivatives, and Schwartz's theorem reciprocals.